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Finding the Third Proportional to 437,316 and 943,536

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Solution

The third proportional to 437,316 and 943,536 is: 2,035,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,316 : 943,536 = 943,536 : x
  2. Step 2: Convert to fraction form
    437,316/943,536 = 943,536/x
  3. Step 3: Cross multiply
    437,316x = 943,536 × 943,536
  4. Step 4: Simplify right side
    437,316x = 890,260,183,296
  5. Step 5: Solve for x
    x = 890,260,183,296/437,316
  6. Step 6: Final answer
    x = 2,035,736.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.